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Finding the Third Proportional to 272,524.50 and 425,340

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Solution

The third proportional to 272,524.50 and 425,340 is: 663,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,524.50 : 425,340 = 425,340 : x
  2. Step 2: Convert to fraction form
    272,524.50/425,340 = 425,340/x
  3. Step 3: Cross multiply
    272,524.50x = 425,340 × 425,340
  4. Step 4: Simplify right side
    272,524.50x = 180,914,115,600
  5. Step 5: Solve for x
    x = 180,914,115,600/272,524.50
  6. Step 6: Final answer
    x = 663,845.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.